24 November 2017
Université Paris Dauphine
Europe/Paris timezone

Regularisation properties of the Boltzmann equation without cut-off

24 Nov 2017, 11:45
A709 (Université Paris Dauphine)


Université Paris Dauphine

Place du Maréchal de Lattre de Tassigny, Paris


Isabelle Tristani


In this talk, we will study the regularisation properties of the Boltzmann equation without cut-off (in the hard potentials case) at the linearised level. The proof uses the hypoellipticity features of the equation and is reminiscent of what has already been done for the Fokker-Planck equation. We will then see that this type of property is a key point to develop a Cauchy theory for the nonlinear equation in Sobolev spaces with polynomial weights. This is a joint work with Frédéric Hérau and Daniela Tonon.

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